Details

Time bar (total: 3.1s)

analyze639.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.1%74.7%0.2%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms75×body80invalid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112674
1223334
1335874
1450024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
6.6b
(/ (* (- y x) z) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
6.0ms
(* (- y x) z)
8.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(/ (* (- y x) z) t)

series28.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- y x) z)
11.0ms
(+ x (/ (* (- y x) z) t))
11.0ms
(/ (* (- y x) z) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0283314
11117267
25001267

prune82.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New62466
Fresh000
Picked011
Done000
Total62567

Merged error: 0b

Counts
67 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.9b
(* (- y x) (/ z t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
11.0ms
(* (- y x) (/ z t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
11.0ms
(* (- y x) (/ z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0296310
11245287
25001275

prune53.0ms

Filtered
36 candidates to 55 candidates (-52.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh033
Picked011
Done011
Total55560

Merged error: 0b

Counts
60 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.1b
(/ (- y x) (/ t z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
18.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series25.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (/ (- y x) (/ t z)))
14.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0609959
12199914
25001913

prune91.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh112
Picked011
Done022
Total1205125

Merged error: 0b

Counts
125 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (* (* (- y x) z) (/ 1 t)))
6.7b
(* (* (- y x) z) (/ 1 t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×add-sqr-sqrt associate-*r*
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
8×associate-*l/
7×cbrt-unprod
6×associate-*l*
5×add-log-exp
4×div-exp pow-prod-down
3×flip3-- flip--
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative
1×+-commutative flip3-+ associate-*r/ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 75
Calls
3 calls:
6.0ms
(* (- y x) z)
3.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
10.0ms
(* (* (- y x) z) (/ 1 t))

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- y x) z)
10.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
11.0ms
(* (* (- y x) z) (/ 1 t))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0406461
11926392
25002367

prune65.0ms

Filtered
51 candidates to 84 candidates (-64.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done033
Total84589

Merged error: 0b

Counts
89 → 5

regimes314.0ms

Accuracy

31% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

analyze649.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.1%74.7%0.2%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample660.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid
78.0ms2137×body80invalid

Profiling

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